Search a number
-
+
73229282640 = 24325444722871
BaseRepresentation
bin100010000110011001…
…1100010110101010000
321000000110210222212100
41010030303202311100
52144433144021030
653350245400400
75201455426563
oct1041463426520
9230013728770
1073229282640
11290690259a8
1212238409100
136ba0499797
1437898644da
151d88d95360
hex110cce2d50

73229282640 has 120 divisors (see below), whose sum is σ = 245994398208. Its totient is φ = 19522563840.

The previous prime is 73229282597. The next prime is 73229282641. The reversal of 73229282640 is 4628292237.

73229282640 is a `hidden beast` number, since 7 + 322 + 9 + 282 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73229282641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3190405 + ... + 3213275.

Almost surely, 273229282640 is an apocalyptic number.

It is an amenable number.

73229282640 is an abundant number, since it is smaller than the sum of its proper divisors (172765115568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73229282640 is a wasteful number, since it uses less digits than its factorization.

73229282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27337 (or 27328 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 73229282640 in words is "seventy-three billion, two hundred twenty-nine million, two hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4447 8894 13341 17788 22235 22871 26682 35576 40023 44470 45742 53364 66705 68613 71152 80046 88940 91484 106728 114355 133410 137226 160092 177880 182968 200115 205839 213456 228710 266820 274452 320184 343065 355760 365936 400230 411678 457420 533640 548904 640368 686130 800460 823356 914840 1029195 1067280 1097808 1372260 1600920 1646712 1829680 2058390 2744520 3201840 3293424 4116780 5489040 8233560 16467120 101707337 203414674 305122011 406829348 508536685 610244022 813658696 915366033 1017073370 1220488044 1525610055 1627317392 1830732066 2034146740 2440976088 3051220110 3661464132 4068293480 4576830165 4881952176 6102440220 7322928264 8136586960 9153660330 12204880440 14645856528 18307320660 24409760880 36614641320 73229282640